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Finding the Fourth Proportional to 177,070.50, 244,357.29 and 97,582.50

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Solution

The fourth proportional to 177,070.50, 244,357.29 and 97,582.50 is: 134,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,070.50 : 244,357.29 = 97,582.50 : x
  2. Step 2: Convert to fraction form
    177,070.50/244,357.29 = 97,582.50/x
  3. Step 3: Cross multiply
    177,070.50x = 244,357.29 × 97,582.50
  4. Step 4: Simplify right side
    177,070.50x = 23,844,995,251.43
  5. Step 5: Solve for x
    x = 23,844,995,251.43/177,070.50
  6. Step 6: Final answer
    x = 134,663.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.